Biomembranes report
Don Praveen Amarasinghe, Andrew Aylwin, Pravin Madhavan, Chris, Pettitt

TL;DR
This paper analyzes and simulates a chemotaxis model described by stochastic reaction-diffusion equations on an evolving surface, providing insights into biological processes involving cell movement and signaling.
Contribution
It introduces a novel approach to modeling chemotaxis on dynamic surfaces using stochastic reaction-diffusion equations, combining analysis and simulation.
Findings
Successful simulation of chemotaxis behavior on evolving surfaces
Insights into stochastic effects on reaction-diffusion processes
Potential applications in biological and medical modeling
Abstract
In this report, we analyse and simulate a chemotaxis model given by a system of stochastic reaction-diffusion equations posed on an evolving surface.
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Taxonomy
TopicsMathematical Biology Tumor Growth · Diffusion and Search Dynamics · Advanced Mathematical Modeling in Engineering
